Question

What is the length of AB if A(-3,-4) B(-1,-6) C(-5,-8)

Answer 1

Explanation:

AB= √((-6+4)²+(-1+3)²)² = √(4+4)= √8 =2√2

Answer 2

AB = 2
`√(2)`

Explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 3, - 4) and (x₂, y₂ ) = B(- 1, - 6)

AB =
`√((-1+3)^2+(-6+4)^2)`

=
`√(2^2+(-2)^2)`

=
`√(4+4)`

=
`√(8)` = 2
`√(2)` ≈ 2.83 ( to 2 dec. places )